Zero Modes and Entanglement Entropy
Abstract
Ultraviolet divergences are widely discussed in studies of entanglement entropy. Also present, but much less understood, are infrared divergences due to zero modes in the field theory. In this note, we discuss the importance of carefully handling zero modes in entanglement entropy. We give an explicit example for a chain of harmonic oscillators in 1D, where a mass regulator is necessary to avoid an infrared divergence due to a zero mode. We also comment on a surprising contribution of the zero mode to the UV-scaling of the entanglement entropy.
Cite
@article{arxiv.1608.04744,
title = {Zero Modes and Entanglement Entropy},
author = {Yasaman K. Yazdi},
journal= {arXiv preprint arXiv:1608.04744},
year = {2018}
}
Comments
v2: 12 pages, 8 figures. Minor changes and typos fixed. Figure and details added on the UV behavior of the giant eigenvalue in the limit of large system size. Discussion added of relation to other work